Which of the following is the graph of the piecewise function f (x) - 7 f(x) -2-1 2 1 √-x-1 if XS-1 X x²-x-2 log₂ (x-1) if if -1

Q: general solution of the differential equation y-14y+49y"=0.

A:

Q: A rectangular zone measuring 12 miles by 16 miles contains five buildings. What is the maximum…

A: Concept: We have a rectangular zone that measures 16miles and 12 miles Let the five buildings in the…

Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: Given :a=<2,-4, 5>b=<-1, 0,-3>c=<3,-5,-3>

Q: (-3², what values should "a" take to ge c. a> 3 d. a 0

A: Student has specifically asked for the solution to the Question-13. That is why answer to that…

Q: Use the root test to determine whether the series converges or diverges. If the test is…

A:

Q: Graph all vertical and horizontal asymptotes of the rational function. f(x)= x²+2x-3 2x² +3

A: I have appended the formula used in the solution part of the question

Q: if Find: A = sin(u)i + was (u)j + (u)k B = cos(u) i - sin (u) j C = 2 i + 3j -K - 3K du [ A x (B x…

A:

Q: 27. Check whether the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the vertices of a ight angled…

A:

Q: foxdx

A:

Q: The population of a certain inner-city area is estimated to be declining according to the model…

A: Here, the given model is for the population of a certain inner-city area after t number of years:…

Q: Write a piecewise-defined function to model the monthly cost C(x) (in $) as a function of the number…

A: The Price wise function  is given below.

Q: If y = ecos(x) then y" + sin(x) y' +cos(x)=

A:

Q: F(x)=2x-x/x-2x+1 ysis to sketch the following inction.

A:

Q: 3 B 3! - What is the second derivative of the function f(x) = xex ?

A:

Q: A Find (dy/dx) for: tanh ¹(x y) + e(x+y) 5 cos (y)

A: We have to determine derivative

Q: For the following equation, find x. 2 log bx= log9+ log125-log 15 (Type an integer or a simplified…

A:

Q: Find the derivative of the function. 11 y=x¹¹ ex y'=0 V

A:

Q: Y=t-2√√x + X

A:

Q: 5.) (ya+yx) dx -x ² dy = 0 ny Simplier) + xbx = vbe+bv=xb. Y = VX keta dy=vdx + xdvo (v²x²+xx²) dx…

A: We want to solve the given homogeneous differential equation.

Q: 5. Select all that are true. ха хв xaxb = xa+b (xa)b = xab sin² 0 + cos² 0 = 1 √2 2 T √2

A:

Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: 5x 5 y-y-ey = e

A: Given problem:- Solve differential equation y'' -y' -2y=e5x

Q: 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

A:

Q: Find the volume of the solid obtained by rotating the region B about the line y = -2. A B

A: Given problem:- f(x) = 4 - x2 , y = 4,x = 2  Given graph :-     To find:- Find the volume of the…

Q: Evaluate the given integral by changing to polar coordinates. Sk (4x - y) dA, where R is the region…

A:

Q: // لاح - لا - لا -4

A:

Q: 0=yج - - لا

A: Follow the procedure given below.

Q: 2 Within x² - y² = 16, y = 0, x =

A:

Q: Find t for the following terminal points, 0 ≤ t < 2π (a) P(0, 1), = √2 2 (b) P ( - 1/², 1/²³). 1 = t…

A: Let's find t for the given  terminal points.

Q: f(x) = х-2 ²-3x-4

A:

Q: Effect of Luxury Tax on Consumption Government economists of a developing country determined that…

A:

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of…

A:

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

A:

Q: 1 Find the domain for each function, stating your answer in interval notation. (a) f(x) = 4x - 3…

A:

Q: Determine each of the following for the circle whose equation is ² The equation of the circle in…

A:

Q: The function f is defined as follows. X if x #0 f(x) = 2 if x = 0 (a) Find the domain of the…

A:

Q: Prove that sech-¹(x) = In(¹+√¹-x²) X

A: Here we have to solve the inverse hyperbolic function.

Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

A:

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: Solution:

Q: 1. So letet Jo 1+ e* t -dx

A: The given integral,        ∫01ex1+exdx

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let x₁ = 2 be the…

A: answer is in next step

Q: 04) Find dy /dx for the following functions: a) y².cotx= [sin(x.y)]-¹ b) y = (lnx + x)tan

A: See the answer below

Q: Question Use the graph of f(x) shown below to determine each of the following limits. If any of the…

A: Given graph of a function f(x).

Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

A:

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Simón wants to build a rectangular pen for his animals. One side of the pen will be against the…

A:

Q: Find the approximations T₁0 and M10 for 21 e¹/x dx. (Round your answers to six decimal places.) T10…

A:

Q: The graph of f (the derivative) is pictured below. Determine each of the following. (If infinite,…

A: As per our guidelines, I can answer maximum three sub parts of a question. Since there are four sub…

Q: Write the first five terms of the sequence, give the exact answer: +∞ {n+19)-1 Determine whether the…

A: